How the conversion is worked out
Every pan has a usable batter capacity in cups, and the conversion is one division. A 9-inch round holds 8.0 cups and a 9 × 13 rectangle holds 14.0 cups, so the scale factor is 14.0 divided by 8.0, which is ×1.75. Multiply the recipe’s batter by that factor: 8.00 cups times ×1.75 is 14.00 cups, which fills the 9 × 13 to 100.00% — exactly full. The same rule runs the other way: a 9 × 13 recipe of 14.0 cups into a 9-inch round is 8.0 divided by 14.0, which is ×0.57, so 14.0 cups become 8.00 cups. The capacities already allow for the usual one-half to two-thirds fill, so do not apply a second reduction — the numbers in the table are the batter the pan takes, not the volume of the empty pan.
The worked example, line by line
Setup: recipe pan 9-inch round (8.0 cups), target pan 9 × 13 rectangle (14.0 cups), recipe batter 8.00 cups.
Line 1 — scale factor. 14.0 / 8.0 = ×1.75.
Line 2 — batter needed. 8.00 × 1.75 = 14.00 cups.
Line 3 — target filled. 14.00 / 14.0 × 100 = 100.00%.
Line 4 — depth check. Both pans are 2 inches deep, so the bake time is the same — check 5 minutes early.
Line 5 — the verdict. Multiply every ingredient by ×1.75 and bake in the 9 × 13 for the same time as the round.
The table: all 12 common pans
Capacities are usable batter in cups, from Wilton’s pan charts — already allowing for the usual one-half to two-thirds fill. Depth is the pan’s height in inches, which decides the bake time.
| Pan | Batter capacity | Depth | Notes |
| 6" round | 3.5 cups | 2.0″ | Half a 9-inch round recipe. |
| 8" round | 6.0 cups | 2.0″ | Three-quarters of a 9-inch round recipe. |
| 9" round | 8.0 cups | 2.0″ | The standard cake recipe size. |
| 10" round | 11.0 cups | 2.0″ | One and a third 9-inch round recipes. |
| 8" x 8" square | 8.0 cups | 2.0″ | Same batter as a 9-inch round. |
| 9" x 9" square | 10.0 cups | 2.0″ | One and a quarter 9-inch round recipes. |
| 9" x 13" rectangle | 14.0 cups | 2.0″ | Nearly two 9-inch round recipes. |
| 9" x 5" loaf | 8.0 cups | 2.5″ | Same batter as a 9-inch round, deeper. |
| 8" x 4" loaf | 4.0 cups | 2.5″ | Half a standard loaf recipe. |
| 10" bundt | 12.0 cups | 3.5″ | One and a half 9-inch round recipes. |
| 9" pie | 6.0 cups | 1.5″ | A shallow pan — bakes faster. |
| 12-cup muffin | 12.0 cups | 1.5″ | Twelve standard muffins, 1 cup of batter each in practice. |
Every branch, checked
8-inch round to 9-inch round: the 8-inch round holds 6.0 cups and the 9-inch round holds 8.0 cups, so the scale is 8.0 divided by 6.0, which is ×1.33. A 6.0-cup recipe becomes 8.00 cups, which fills the 9-inch round exactly. Both pans are 2 inches deep, so the time stays the same.
9 × 13 to 9-inch round: the scale is 8.0 divided by 14.0, which is ×0.57. A 14.0-cup recipe becomes 8.00 cups, which fills the 9-inch round exactly — and you keep 6.00 cups of batter back, enough for a few cupcakes.
9 × 5 loaf to 10-inch bundt: the loaf holds 8.0 cups and the bundt holds 12.0 cups, so the scale is 12.0 divided by 8.0, which is ×1.50. An 8.0-cup recipe becomes 12.00 cups. But the bundt is 3.5 inches deep against the loaf’s 2.5, so add 10–15 minutes to the bake time and test with a skewer.
10-inch round to 9 × 9 square: the 10-inch round holds 11.0 cups and the square holds 10.0 cups, so the scale is 10.0 divided by 11.0, which is ×0.91. An 11.0-cup recipe becomes 10.00 cups, which fills the square exactly.
Reverse — 10 cups of batter, three pans: in a 9 × 9 square (10.0 cups) it fills to 100.0% — exactly full. In an 8-inch round (6.0 cups) it is 166.7% full and overflows by 4.00 cups — do not bake it there. In a 9 × 13 (14.0 cups) it fills only 71.4%, so the layer is thin and bakes faster — check 5 minutes early.
The honest flip: area decides the fit, depth decides the time
The most common mistake is scaling by the pan’s width instead of its capacity. A 10-inch round is not a quarter bigger than an 8-inch round — it holds 11.0 cups against 6.0, which is nearly twice as much, because area grows with the square of the diameter. The second mistake is forgetting the depth: a 9 × 5 loaf and a 9-inch round both hold 8.0 cups, so the same batter fits either one — but the loaf is 2.5 inches deep against the round’s 2, so the loaf bakes slower. And the bundt is the trap: it holds 12.0 cups, the most of any pan here, but at 3.5 inches deep it needs the longest bake of all. Fit is about cups; time is about depth. See the recipe scaling calculator for scaling the ingredients once you know the factor, and the baking pan size chart for the pan dimensions behind these capacities.
What the defaults assume
The defaults are a full 9-inch round recipe — 8.00 cups of batter — scaled into a 9 × 13 rectangle. The capacities are Wilton’s usable batter figures, already allowing for the usual one-half to two-thirds fill: do not reduce them again. The bake-time rule is a rule of thumb, not a timer: same depth means the same time, check 5 minutes early; a pan at least half an inch deeper needs 10–15 minutes more; a pan at least half an inch shallower needs about 5 minutes less. Ovens vary, and a dark pan bakes faster than a light one, so always test with a toothpick or skewer. The muffin figure is for a standard 12-cup tin: 12.0 cups of batter makes twelve muffins, about a cup of batter per cup in practice once the cups are filled two-thirds.
Rounding convention, stated plainly: capacities are to one decimal in the table — 3.5, 6, 8, 11 — scale factors to two decimals — ×1.75, ×1.33 — batter needed to two decimals — 14.00 cups — and fill percentages to one decimal — 100.00%, 100.0%, 166.7%.
Output · formula · meaning
| Output | Formula | What it means |
| Scale factor | target capacity / recipe capacity | ×1.75 — 14 / 8. |
| Batter needed | recipe cups × scale | 14.00 cups — 8 × 1.75. |
| Target pan filled | batter needed / target capacity × 100 | 100.00% — the 9 × 13 is exactly full. |
| 8" round → 9" round | 8 / 6 | ×1.33 — 6 cups become 8.00 cups. |
| 9" x 13" → 9" round | 8 / 14 | ×0.57 — 14 cups become 8.00 cups. |
| 9" x 5" loaf → bundt | 12 / 8 | ×1.50 — 8 cups become 12.00 cups. |
| 10" round → 9" x 9" | 10 / 11 | ×0.91 — 11 cups become 10.00 cups. |
| 10 cups in a 9" x 9" | 10 / 10 × 100 | 100.0% full — exactly full. |
| 10 cups in an 8" round | 10 / 6 × 100 | 166.7% full — overflows by 4.00 cups. |
| 10 cups in a 9" x 13" | 10 / 14 × 100 | 71.4% full — a thin layer, bakes faster. |
Who uses this
- The birthday-cake baker: has a recipe for a 9-inch round and a 9 × 13 to fill, and learns to multiply everything by ×1.75 — 8.00 cups of batter become 14.00 cups, and the bake time stays the same.
- The loaf-to-bundt baker: wants a bundt from a loaf recipe and learns the scale is ×1.50 — 8.0 cups become 12.00 cups — and to add 10–15 minutes, because the bundt is a full inch deeper.
- The half-recipe cook: has 14.0 cups of batter for a 9-inch round and learns the scale is ×0.57 — 14.0 cups become 8.00 cups, with 6.00 cups left over for cupcakes.
- The careful measurer: has 10 cups of batter and no idea which pan fits, and learns the 9 × 9 is exactly full at 100.0%, the 8-inch round overflows by 4.00 cups, and the 9 × 13 sits at 71.4% — so the square is the pan.
Accuracy & limitations
The math is exact for the numbers you enter: the scale is the target capacity divided by the recipe capacity; the batter needed is the recipe cups times the scale; the fill is the batter needed divided by the target capacity, times 100. But the inputs carry the assumptions. The capacities are Wilton’s usable batter figures for standard pans: a pan from another maker, a pan with sloped sides, or a pan measured differently can hold a cup more or less. The fill rule is one-half to two-thirds, already built into the capacities — do not reduce them again, and do not fill past them. The bake-time rule is a rule of thumb: same depth means the same time, check 5 minutes early; deeper means 10–15 minutes more; shallower means about 5 minutes less. It does not account for oven hot spots, dark pans, glass pans, or high altitude — at altitude, see the high altitude baking calculator. It does not scale the leavening: baking powder and baking soda do not always scale linearly, and a recipe scaled by ×1.75 may need a little less leavening than the straight multiplication says. No studies or statistics are cited on this page beyond the Wilton capacities named above, because none are needed: every figure is arithmetic on the numbers you enter.
Cite this calculatorBright Side Kit. “Baking Pan Conversion Chart: Cups, Sizes & Scaling.” brightoolbox.com, 2026. Method: scale = target pan capacity / recipe pan capacity; batter needed = recipe cups × scale; fill = batter needed / target capacity × 100; bake time by depth difference. Defaults: 9" round (8 cups) → 9" x 13" (14 cups), 8 cups → scale ×1.75, need 14.00 cups, fill 100.00%, same depth so same bake time. Branches: 8" round → 9" round ×1.33, need 8.00 cups; 9" x 13" → 9" round ×0.57, need 8.00 cups; 9" x 5" loaf → bundt ×1.50, need 12.00 cups, +10–15 min; 10" round → 9" x 9" ×0.91, need 10.00 cups. Reverse: 10 cups → 9" x 9" 100.0%, 8" round 166.7% (overflows 4.00 cups), 9" x 13" 71.4%. Sources: Wilton pan capacity charts (usable batter, one-half to two-thirds fill).Bright Side Kit. "Baking Pan Conversion Chart: Cups, Sizes & Scaling" https://brightoolbox.com/baking-pan-conversion-chart/ Accessed October 24, 2026.
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